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Finding the Fourth Proportional to 467,856.90, 702,113.40 and 201,808.35

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Solution

The fourth proportional to 467,856.90, 702,113.40 and 201,808.35 is: 302,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,856.90 : 702,113.40 = 201,808.35 : x
  2. Step 2: Convert to fraction form
    467,856.90/702,113.40 = 201,808.35/x
  3. Step 3: Cross multiply
    467,856.90x = 702,113.40 × 201,808.35
  4. Step 4: Simplify right side
    467,856.90x = 141,692,346,766.89
  5. Step 5: Solve for x
    x = 141,692,346,766.89/467,856.90
  6. Step 6: Final answer
    x = 302,854.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.